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PSI Converted to GPM

Flow Rate Formula:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

psi
psi
lb/ft³
ft²
ft/s
GPM

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1. What is PSI to GPM Conversion?

Definition: This calculator converts pressure difference (PSI) to flow rate (GPM) using fluid dynamics principles.

Purpose: It helps engineers and technicians determine fluid flow rates in pipes and systems based on pressure measurements.

2. How Does the Calculator Work?

The calculator uses these formulas:

\[ V = \sqrt{\frac{2 \times (P_1 - P_2) \times 144}{\rho}} \] \[ Q = V \times A \times 448.83 \]

Where:

Explanation: The pressure difference is converted to velocity, which is then multiplied by area and a conversion factor to get flow rate.

3. Importance of PSI to GPM Conversion

Details: Accurate flow rate calculations are essential for system design, pump sizing, and troubleshooting fluid systems.

4. Using the Calculator

Tips: Enter the pressure values, fluid density (default 62.4 lb/ft³ for water), and pipe area. All values must be > 0 except P₂ which can be 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is there a 144 in the formula?
A: This converts psi (lb/in²) to lb/ft² (1 ft² = 144 in²).

Q2: What's the 448.83 conversion factor?
A: This converts ft³/s to gallons per minute (1 ft³/s = 448.83 GPM).

Q3: What density should I use for other fluids?
A: Use 49.2 lb/ft³ for gasoline, 78.6 lb/ft³ for seawater, or look up your specific fluid's density.

Q4: How do I find the cross-sectional area?
A: For circular pipes: \( A = \pi \times (diameter/2)^2 \).

Q5: Does this account for friction losses?
A: No, this is the theoretical maximum flow. Actual flow will be less due to friction and other losses.

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